High School

If the molar mass of an unknown substance is found to be [tex]$98.2 \, \text{g/mol}$[/tex], determine the mass of 6.3 mol of the substance.

A. [tex]15.6 \, \text{g}[/tex]

B. [tex]6.4 \times 10^{-2} \, \text{g}[/tex]

C. [tex]102.3 \, \text{g}[/tex]

D. [tex]6.2 \times 10^2 \, \text{g}[/tex]

E. [tex]219.3 \, \text{g}[/tex]

Answer :

To find the mass of 6.3 moles of a substance with a molar mass of 98.2 grams per mole, you can follow these steps:

1. Understand the formula: The relationship between mass, moles, and molar mass is given by the formula:

[tex]\[
\text{mass} = \text{moles} \times \text{molar mass}
\][/tex]

2. Identify the values:
- Molar mass = 98.2 g/mol
- Moles = 6.3 mol

3. Substitute the values into the formula:

[tex]\[
\text{mass} = 6.3 \, \text{mol} \times 98.2 \, \text{g/mol}
\][/tex]

4. Calculate the mass:

- Multiply the number of moles by the molar mass to find the mass:

[tex]\[
\text{mass} = 6.3 \times 98.2 = 618.66 \, \text{grams}
\][/tex]

Therefore, the mass of 6.3 moles of the substance is approximately 618.66 grams. Looking at the provided options, none of them exactly match this result. However, since option "d. [tex]$6.2 \times 10^2 g$[/tex]" is closest to 618.66 grams (since [tex]\(6.2 \times 10^2\)[/tex] is 620 grams), it is the best match.